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Articles

Resampling methods in ANOVA for data from the von Mises-Fisher distribution

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Pages 4999-5013 | Received 06 Jul 2019, Accepted 30 Aug 2021, Published online: 22 Sep 2021

References

  • Amaral, G. J. A., I. L. Dryden, and A. T. A. Wood. 2007. Pivotal bootstrap methods for k-sample problems in directional statistics and shape analysis. Journal of the American Statistical Association 102 (478):695–707. doi: 10.1198/016214506000001400.
  • Banerjee, A., I. S. Dhillon, J. Ghosh, and S. Sra. 2005. Clustering on the unit hypersphere using von Mises-Fisher distributions. Journal of Machine Learning Research 6:1345–82.
  • Chen, J., P. Li, and Y. Fu. 2008. Testing homogeneity in a mixture of von Mises distributions with a structural parameter. Canadian Journal of Statistics 36 (1):129–42. doi: 10.1002/cjs.5550360112.
  • Dortet-Bernadet, J.- L., and N. Wicker. 2008. Model-based clustering on the unit sphere with an illustration using gene expression profiles. Biostatistics (Oxford, England) 9 (1):66–80. doi: 10.1093/biostatistics/kxm012.
  • Efron, B. 1979. Bootstrap methods: Another look at the jacknife. The Annals of Statistics 7 (1):1– 26. doi: 10.1214/aos/1176344552.
  • Figueiredo, A. 2009. Discriminant Analysis for the von Mises-Fisher distribution. Communications in Statistics - Simulation and Computation 38 (9):1991–2003. doi: 10.1080/03610910903200281.
  • Figueiredo, A. 2017a. Bootstrap and permutation tests in ANOVA for directional data. Computational Statistics 32 (4):1213–40. doi: 10.1007/s00180-017-0739-x.
  • Figueiredo, A. 2017b. Clustering directions based on the estimation of a mixture of von Mises-Fisher distributions. The Open Statistics & Probability Journal 08 (1):39–52. doi: 10.2174/1876527001708010039.
  • Fisher, N. I., and P. Hall. 1989. Bootstrap Confidence regions for directional data. Journal of the American Statistical Association 84 (408):996–1002. doi: 10.1080/01621459.1989.10478864.
  • Fisher, N. I., P. Hall, B.-Y. Jing, and A. T. A. Wood. 1996. Improved pivotal methods for constructing confidence regions with directional data. Journal of the American Statistical Association 91 (435):1062–70. doi: 10.1080/01621459.1996.10476976.
  • Fisher, N. I., T. Lewis, and B. J. J. Embleton. 1987. Statistical analysis of spherical data. Cambridge: Cambridge University Press.
  • Harrison, D., and G. K. Kanji. 1988. The development of analysis of variance for circular data. Journal of Applied Statistics 15 (2):197–224. doi: 10.1080/02664768800000026.
  • Ley, C., and T. Verdebout. 2017. Modern directional statistics. Boca Raton: Chapman and Hall, CRC.
  • Ley, C., and T. Verdebout, ed. 2019. Applied directional statistics: Modern Methods and case studies. Boca Raton: Chapman and Hall, CRC.
  • Ley, C., Y. Swan, and T. Verdebout. 2017. Efficient ANOVA for directional data. Annals of the Institute of Statistical Mathematics 69 (1):39–62. doi: 10.1007/s10463-015-0533-x.
  • Mardia, K. V., and P. E. Jupp. 2000. Directional statistics. Chichester: Wiley.
  • Pewsey, A., M. Neuhauser, and G. Ruxton. 2013. Circular statistics in R. Oxford: Oxford University Press.
  • Rumcheva, P., and B. Presnell. 2017. An improved test of equality of mean directions for the Langevin-von Mises-Fisher distribution. Australian & New Zealand Journal of Statistics 59 (1):119–135. doi: 10.1111/anzs.12183.
  • Schmidt, P. W. 1976. The non-uniqueness of the Australian Mesozoic palaeomagnetic pole position. Geophysical Journal International 47 (2):285–300. doi: 10.1111/j.1365-246X.1976.tb01274.x.
  • Stephens, M. A. 1969. Multisample tests for the Fisher distribution for directions. Biometrika 56 (1):169–81. doi: 10.1093/biomet/56.1.169.
  • Stephens, M. A. 1972. Multisample tests for the von Mises distribution. Journal of the American Statistical Association 67 (338):456–61. doi: 10.1080/01621459.1972.10482410.
  • Watson, G. S. 1983. Statistics on spheres. New York: Wiley.
  • Watson, G. S., and E. J. Williams. 1956. On the construction of significance tests on the circle and the sphere. Biometrika 43 (3-4):344–52. doi: 10.2307/2332913.
  • Wellner, J. A. 1979. Permutation tests for directional data. The Annals of Statistics 7 (5):929–43. doi: 10.1214/aos/1176344779.
  • Wood, A. 1982. A bimodal distribution on the sphere. Applied Statistics 31 (1):52–8. doi: 10.2307/2347074.
  • Wood, A. 1994. Simulation of the von Mises-Fisher distribution. Communications in Statistics - Simulation and Computation 23 (1):157–64. doi: 10.1080/03610919408813161.

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